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106655353 = 71071311087
BaseRepresentation
bin1100101101101…
…10111001111001
321102200122122021
412112312321321
5204300432403
614325554441
72433361360
oct626667171
9242618567
10106655353
1155227822
122b875a21
1319133b9c
14102447d7
15956b8bd
hex65b6e79

106655353 has 16 divisors (see below), whose sum is σ = 124084224. Its totient is φ = 89790480.

The previous prime is 106655327. The next prime is 106655369. The reversal of 106655353 is 353556601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106655353 is a prime.

It is a super-2 number, since 2×1066553532 = 22750728647109218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106655323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97576 + ... + 98662.

It is an arithmetic number, because the mean of its divisors is an integer number (7755264).

Almost surely, 2106655353 is an apocalyptic number.

It is an amenable number.

106655353 is a deficient number, since it is larger than the sum of its proper divisors (17428871).

106655353 is a wasteful number, since it uses less digits than its factorization.

106655353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 106655353 is about 10327.4078548298. The cubic root of 106655353 is about 474.2356727120.

The spelling of 106655353 in words is "one hundred six million, six hundred fifty-five thousand, three hundred fifty-three".

Divisors: 1 7 107 131 749 917 1087 7609 14017 98119 116309 142397 814163 996779 15236479 106655353